SV #1: Unit F Concept 10: Given Polynomial of 4th or 5th Degree Find ALL Zeroes, including real and complex.

                                 In this video you will learn Unit F Concept 10, which is similar to Unit F Concept 6. The difference is that you will end up with irrational zeroes at the end instead of just rational numbers. You will follow the same steps as in the Unit F Concept 6 until the end when you end up with irrational zeroes. You will learn how you found irrational zeroes in the first place, and you will learn how to put them into factor form, in factorization.
                                 One thing you need to pay close attention to is that when you write out the factors you must have a number of "x's" in the factorization equal to the degree of the equation. This means that if the equation is up to the fourth degree then you must have four "x's" in your factorization. You cannot leave the irrational zeroes without the x and count them as factors. They are not factors unless you use the proper way to turn them into factors with the variable x.

SP #2: Unit E Concept 7

                  In this Student Problem we are first reviewing how to create a polynomial expression starting with the zeroes and their multiplicity. This is labeled 1 with a circle around it in the picture above. Then, the following step are numbered as well up until six. All the steps shown are taken to learn how to use information known to graph a polynomial. This information includes: how to find factors based on zeroes, how to multiply factors, how to interpret end behavior, how to solve for your y-intercept, and finally how to use the multiplicity number to know whether the line of a graph goes through, bounces, or curves.
                  In order to complete this student problem correctly you must remember that the zeroes are opposite of the factors so it will always be (x minus "zero"). Another key thing you must remember is how to know whether a line goes through, bounces, or curves using the multiplicity number. Mrs. Kirch's catchy tune of "1,2,3, TBC" is a good way to remember. If the multiplicity is 1, then the line goes Through, if it is 2 then the line Bounces, and if it is 3 the line Curves.

WPP #4: Unit E Concept 3

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SP#1 Unit E Concept 1

                 In this student problem we are learning to change a standard form equation to a parent function form so we can easily find key points to make a graph. The key points include the vertex, which is either the maximum or minimum of a graph, the axis of symmetry, which is also known as the line of symmetry or simply the axis, and the x-intercepts. The y-intercept can also be found by the parent function but it is easier to use the standard form equation to find the y-intercept.

                   Something you need to remember is that since this is a quadratic equation, your graph must look like a parabola. The vertex can be either maximum, showing the parabola going down, or it can be minimum, showing the parabola going up. The axis can be used to write other points in the graph using the rule of symmetry. Finally, another thing you need to remember is that the x-intercepts can have radicals or they can even be imaginary numbers, which means the x-axis is not touched.

WPP #3: Unit E Concept 2

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WPP#1: Unit A Concept 6

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WPP#2: Unit A Concept 7

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